Final answer:
The area of the triangle with a base of 166 mm and a height of 930 mm is calculated by first converting to meters, then using the area formula, and rounding the result to three significant figures. The area is 0.0772 square meters.
Step-by-step explanation:
The area of a triangle can be found using the formula: 1/2 × base × height. For a triangle with a base of 166 mm and a height of 930.0 mm, we convert the measurements to meters by dividing by 1000 (since 1000 mm = 1 m), resulting in a base of 0.166 m and a height of 0.930 m. Calculate the area by multiplying 0.166 m by 0.930 m and then by 1/2 to apply the area formula, which in significant figures rounds to:
Area = 1/2 × 0.166 m × 0.930 m
First, multiply the base by the height:
0.166 m × 0.930 m = 0.15438 m²
Now, multiply by 1/2 to get the area:
1/2 × 0.15438 m² = 0.07719 m²
Expressing the answer to the correct number of significant figures, which is three in this case (based on the given values), we get:
Area = 0.0772 m²